4672800 has 216 divisors, whose sum is σ = 18280080. Its totient is φ = 1113600.

The previous prime is 4672769. The next prime is 4672813. The reversal of 4672800 is 82764.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79171 + ... + 79229.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

Almost surely, 2^4672800 is an apocalyptic number.

4672800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

4672800 is an abundant number, since it is smaller than the sum of its proper divisors (13607280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4672800 is a wasteful number, since it uses less digits than its factorization.

4672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4672800 is about 2161.6660241582. Note that the first 3 decimals coincide. The cubic root of 4672800 is about 167.1831091810.

The spelling of 4672800 in words is "four million, six hundred seventy-two thousand, eight hundred".